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Acceleration in a Simple Pulley System

A 14 kg monkey climbs up a massless rope that runs over a frictionless tree limb and back down to a 27 kg package on the ground. What is the magnitude of the last acceleration the monekey must have if it is to lift the package off the the ground?

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The monkey pulls on the rope with its weight: mg

However, since the rope applies a force on the monkey by letting the monkey accelerate on it, Newton's third law states that the monley applies teh same force on the rope, but only in an opposite direction.

Think about it this way: in order to accelerate, teh monkey has to push the rope downwards.

Hence, the total force ...

Solution Summary

The solution includes a step-by-step explanation of the calculations for finding acceleration.